The solution for something like that is to re-bond the filon/foam layer to the bottom of the flat wood. You should have rolled contact cement onto both surfaces and pressed the filon up from the bottom, before tacking down the new wood surface. Can you lift up the wood again to do that? You want to use some 3m Fastbond 10 contact cement. It's expensive but totally worth it. You should also get a rubber roller to get good pressure on everything and make sure the filon layer is completely adhered.
Jose